ANSWER
[tex]y = - \frac{8}{x} [/tex]
EXPLANATION
An inverse variation equation is of the form:
[tex]y = \frac{k}{x} [/tex]
We plug in the point (-1,8).
[tex] 8= \frac{k}{ - 1} [/tex]
This implies that k=-8
Therefore the inverse variation equation is :
[tex]y = - \frac{8}{x} [/tex]